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Zigmanuir [339]
4 years ago
9

Find x in picture below. a. 4 b. 6 c.12

Mathematics
1 answer:
Blababa [14]4 years ago
8 0

Answer:

C.12

Step-by-step explanation:

Apply the formula for tangent-secant

Let the cord length inside the circle to be y

According to the tangent-secant relation

(3+y)/6 = 6/3

cross multiply

3(3+y)=6*6

9+3y=36

3y=36-9

3y=27

y=27/3

y=9

Distance x = y+3

x=9+3=12

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Now, from this we may conclude that the equation has two solutions, x=4 and x=-4. But we need to be careful with this, from the orginal expression we notice that the denominator in both sides is (x+4), then if we plug x=-4, the result in both denominators will be zero but we know that the division by zero is not defined.

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1 year ago
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-----------------------------------
Question:
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6 - (-8) = 6 + 8 = 14

-----------------------------------
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